Chapter 1.3 Notes Name: How old are you? How tall are you? The answers to these questions are measurements. ____________ are important in both science and everyday life. It would be difficult to imagine doing science without any measurements.

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Why is scientific notation useful?

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Why is scientific notation useful? Scientists often work with very large or very small numbers. Astronomers estimate there are 200,000,000,000 stars in our galaxy.

Chapter 1.3 Notes Name: Using Scientific Notation ____________is a way of expressing a value as the product of a number between 1 and 10 and a power of 10. For example, the speed of light is about 300,000,000 meters per second. In scientific notation, that speed is ____________. The exponent, 8, tells you that the decimal point is really 8 places to the right of the 3.

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation For numbers less than 1 that are written in scientific notation, the exponent is ____________. For example, an average snail’s pace is 0.00086 meters per second. In scientific notation, that speed is 8.6 × 10-4 m/s. The negative exponent tells you how many decimals places there are to the ____________of the 8.6.

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation To multiply numbers written in scientific notation, you multiply the numbers that appear before the multiplication signs and ____________ the exponents. The following example demonstrates how to calculate the distance light travels in 500 seconds. This is about the distance between the sun and Earth.

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation When dividing numbers written in scientific notation, you divide the numbers that appear before the exponential terms and ____________ the exponents. The following example demonstrates how to calculate the time it takes light from the sun to reach Earth.

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Using Scientific Notation A rectangular parking lot has a length of 1.1 × 103 meters and a width of 2.4 × 103 meters. What is the area of the parking lot?

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Read and Understand What information are you given?

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Plan and Solve What unknown are you trying to calculate? What formula contains the given quantities and the unknown? Replace each variable with its known value

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Look Back and Check Is your answer reasonable? Yes, the number calculated is the product of the numbers given, and the ____________indicate area.

Using Scientific Notation Chapter 1.3 Notes Name: Using Scientific Notation Look Back and Check 2. Perform the following calculations. Express your answers in scientific notation. a. (7.6 × 10-4 m) × (1.5 × 107 m) b. 0.00053 ÷ 29 3. Calculate how far light travels in 8.64 × 104 seconds. (Hint: The speed of light is about 3.0 × 108 m/s.)

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement What units do scientists use for their measurements?

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement Scientists use a set of measuring units called ____________, or the ____________of Units. SI is an abbreviation for Système International d’Unités. SI is a revised version of the metric system, originally developed in France in ____________. Scientists around the world use the ____________ system of measurements so that they can readily interpret one another’s measurements.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement If you told one of your friends that you had finished an assignment “in five,” it could mean five minutes or five hours. Always express measurements in ____________so that their meaning is clear. These students’ temperature measurement will include a number and the unit, ____________.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement Base Units and Derived Units SI is built upon seven metric units, known as ____________. In SI, the base unit for length, or the straight-line distance between two points, is the ____________. The base unit for mass, or the quantity of matter in an object or sample, is the ____________.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement _________________ make up the foundation of SI.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement Additional SI units, called derived units, are made from combinations of base units. ____________ is the amount of space taken up by an object. ____________ is the ratio of an object’s mass to its volume:

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement Specific combinations of SI base units yield ______________.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement To derive the SI unit for density, you can divide the base unit for mass by the derived unit for volume. Dividing kilograms by cubic meters yields the SI unit for density, ____________(kg/m3). A bar of gold has more mass per unit volume than a feather, so gold has a greater density than a feather.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement Metric Prefixes The metric unit is not always a convenient one to use. A metric prefix indicates how many times a unit should be multiplied or divided by ____________.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement For example, the time it takes for a computer hard drive to read or write data is in the range of thousandths of a second, such as 0.009 second. Using the prefix ____________, you can write 0.009 second as 9 milliseconds, or 9 ms.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement Metric prefixes can also make a unit larger. For example, a distance of 12,000 meters can also be written as 12 ____________. Metric prefixes turn up in nonmetric units as well. If you work with computers, you probably know that a ____________ of data refers to 1,000,000,000 bytes. A ____________ is 1,000,000 pixels.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement A ____________is a ratio of equivalent measurements used to convert a quantity expressed in one unit to another unit. To convert the height of Mount Everest, 8848 meters, into kilometers, multiply by the conversion factor on the left.

SI Units of Measurement Chapter 1.3 Notes Name: SI Units of Measurement To convert 8.848 kilometers back into meters, multiply by the conversion factor on the right. Since you are converting from kilometers to meters, the number should get larger. In this case, the kilometer units cancel, leaving you with ____________.

Chapter 1.3 Notes Name: Limits of Measurement How does the precision of measurements affect the precision of scientific calculations?

Chapter 1.3 Notes Name: Limits of Measurement The precision of a calculated answer is limited by the ____________measurement used in the calculation.

Precision is a gauge of ____________a measurement is. Chapter 1.3 Notes Name: Limits of Measurement Precision Precision is a gauge of ____________a measurement is. Significant figures are all the digits that are known in a measurement, plus the ____________that is estimated.

Chapter 1.3 Notes Name: Limits of Measurement A more precise time can be read from the ____________than can be read from the analog clock. The digital clock is precise to the nearest second, while the analog clock is precise to the nearest minute.

Chapter 1.3 Notes Name: Limits of Measurement If the least precise measurement in a calculation has ____________significant figures, then the calculated answer can have at most three significant figures. Mass = 34.73 grams Volume = 4.42 cubic centimeters. Rounding to three significant figures, the density is ____________ grams per cubic centimeter.

Limits of Measurement Accuracy Chapter 1.3 Notes Name: Limits of Measurement Accuracy Another important quality in a measurement is its accuracy. ____________ is the closeness of a measurement to the actual value of what is being measured. For example, suppose a digital clock is running 15 minutes slow. Although the clock would remain precise to the nearest second, the time displayed would not be accurate.

Measuring Temperature Chapter 1.3 Notes Name: Measuring Temperature A ____________ is an instrument that measures temperature, or how hot an object is.

Measuring Temperature Chapter 1.3 Notes Name: Measuring Temperature Scale The scale indicates the temperature according to how far up or down the capillary tube the liquid has moved. ______ (centigrade) temperature scale ________ scale Capillary tube Colored liquid The liquid moves up and down the capillary tube as the temperature changes. Bulb The bulb contains the reservoir of liquid.

Measuring Temperature Chapter 1.3 Notes Name: Measuring Temperature Compressed scale _______ rises more in a narrow tube for the same temperature change. _______ rises less in a wide tube for the same temperature change. Expanded, easy-to-read scale

Measuring Temperature Chapter 1.3 Notes Name: Measuring Temperature The two temperature scales that you are probably most familiar with are the Fahrenheit scale and the Celsius scale. A degree Celsius is almost ____________ as large as a degree Fahrenheit. You can convert from one scale to the other by using one of the following formulas.

Measuring Temperature Chapter 1.3 Notes Name: Measuring Temperature The SI base unit for temperature is the ____________. A temperature of ____________, or 0 kelvin, refers to the lowest possible temperature that can be reached. In degrees Celsius, this temperature is ____________. To convert between kelvins and degrees Celsius, use the formula:

Measuring Temperature Chapter 1.3 Notes Name: Measuring Temperature Temperatures can be expressed in degrees _________, _________, or _______.

Chapter 1.3 Notes Name: Assessment Questions A shopping mall has a length of 200 meters and a width of 75 meters. What is the area of the mall, in scientific notation? 1 × 103 m2 1.5 × 103 m2 1.5 × 104 m2 1.75 × 104 m2

Chapter 1.3 Notes Name: Assessment Questions A student measures the volume and mass of a liquid. The volume is 50.0 mL and the mass is 78.43 g. What is the correct calculated value of the liquid’s density? (A calculator reads 1.5686.) 1.6 g/cm3 1.57 g/cm3 1.569 g/cm3 1.5686 g/cm3

Chapter 1.3 Notes Name: Assessment Questions How can you convert a temperature expressed in kelvin (K) to degree Celsius (°C)? add 32 subtract 32 add 273 subtract 273

Chapter 1.3 Notes Name: Assessment Questions 4. The SI base unit for length is the mile. True False